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Finding the Fourth Proportional to 4,657.49, 6,426.96 and 2,743.01

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Solution

The fourth proportional to 4,657.49, 6,426.96 and 2,743.01 is: 3,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.49 : 6,426.96 = 2,743.01 : x
  2. Step 2: Convert to fraction form
    4,657.49/6,426.96 = 2,743.01/x
  3. Step 3: Cross multiply
    4,657.49x = 6,426.96 × 2,743.01
  4. Step 4: Simplify right side
    4,657.49x = 17,629,201.83
  5. Step 5: Solve for x
    x = 17,629,201.83/4,657.49
  6. Step 6: Final answer
    x = 3,785.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.